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Abstract
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Journal of Inequalities and Applications 
Volume 2 (1998), Issue 3, Pages 255-267
doi:10.1155/S1025583498000150

On generalized Wazewski and Lozinskii inequalities for semilinear abstract differential-delay equations

M. I. Gil’

Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

Received 4 April 1997

Abstract

A semilinear abstract differential-delay equation with a nonautonomous linear part is considered. Solution estimates are derived. They generalize Wazewski and Lozinskii inequalities. Conditions for global stability are established.